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Simplifying 0 = 2x2 + -64x + 1157 Reorder the terms: 0 = 1157 + -64x + 2x2 Solving 0 = 1157 + -64x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -1157 = -1157 -1157 + 64x + -2x2 = 1157 + -64x + 2x2 + -1157 + 64x + -2x2 Reorder the terms: -1157 + 64x + -2x2 = 1157 + -1157 + -64x + 64x + 2x2 + -2x2 Combine like terms: 1157 + -1157 = 0 -1157 + 64x + -2x2 = 0 + -64x + 64x + 2x2 + -2x2 -1157 + 64x + -2x2 = -64x + 64x + 2x2 + -2x2 Combine like terms: -64x + 64x = 0 -1157 + 64x + -2x2 = 0 + 2x2 + -2x2 -1157 + 64x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1157 + 64x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 578.5 + -32x + x2 = 0 Move the constant term to the right: Add '-578.5' to each side of the equation. 578.5 + -32x + -578.5 + x2 = 0 + -578.5 Reorder the terms: 578.5 + -578.5 + -32x + x2 = 0 + -578.5 Combine like terms: 578.5 + -578.5 = 0.0 0.0 + -32x + x2 = 0 + -578.5 -32x + x2 = 0 + -578.5 Combine like terms: 0 + -578.5 = -578.5 -32x + x2 = -578.5 The x term is -32x. Take half its coefficient (-16). Square it (256) and add it to both sides. Add '256' to each side of the equation. -32x + 256 + x2 = -578.5 + 256 Reorder the terms: 256 + -32x + x2 = -578.5 + 256 Combine like terms: -578.5 + 256 = -322.5 256 + -32x + x2 = -322.5 Factor a perfect square on the left side: (x + -16)(x + -16) = -322.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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